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Brrunno [24]
3 years ago
8

What is the value of x? _____ Units​

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

x=25

Step-by-step explanation:

The line QC makes:

           \triangle DQC\sim\triangle DBR

Using the property of similar triangles:

\dfrac{DQ}{BD} =\dfrac{DC}{DR} \\\\\dfrac{40}{40+24} =\dfrac{x}{x+15}\\

Using cross multiplication method:

40(x+15)=x(40+24)\\\\40(x+15)=x(64)\\\\40(x)+40(15)=64x\\\\40x+600=64x

Subtracting '40x' both the sides:

64x-40x=600\\\\24x=600

Dividing by '24' both sides:

x=\dfrac{600}{24} \\\\x=25

The value of 'x' in the figure is : x=25

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